Linear Relationships Review

The Point-Slope form is given by the equation: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

To convert from Point-Slope form (y - y_1 = m(x - x_1)) to Slope-Intercept form (y = mx + b), solve for y.

The Slope-Intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

To find the y-intercept, set x = 0 in the equation and solve for y.

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

To find the x-intercept, set y = 0 in the equation and solve for x.

The slope of a line is equal to the tangent of the angle (θ) that the line makes with the positive x-axis: m = tan(θ).

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.